Question

find the measure of the missing angles. answer attempt 1 out of 2 x = ° y = °

Explanation:

Step1: Use vertical - angle property

Vertical angles are equal. Angle \(x\) and the \(61^{\circ}\) angle are vertical angles. So \(x = 61^{\circ}\).

Step2: Use angle - sum property for a right - angle

We know that \(y+61^{\circ}=90^{\circ}\) (since the angle next to \(y\) and \(61^{\circ}\) is a right - angle). Solving for \(y\), we get \(y=90^{\circ}-61^{\circ}\).
\(y = 29^{\circ}\)

Answer:

\(x = 61^{\circ}\), \(y = 29^{\circ}\)